Hello Andy,
Thank you very much for your helpful response, and for being one of the first people to reply to my post. I really appreciate your time and guidance.
I would like to provide the full details so you have the complete picture:
When I first bought my fishs and placed them in a large tank (around 80 cm), I wanted to determine the sex of each one. While examining the female by pressing on her, I felt a clear internal “pop,” like a balloon bursting inside her belly under the water, and no eggs came out. I got worried and immediately returned her to the tank.
That "Pop" could have been the air bladder or potentially the breaking of a rib as well.

What is keeping me from confirming the ovary being the answer is that if the ovary had burst, the eggs would have remained inside the fish and be get expelled from your pressure. When fish spawn, the eggs come out from the female exerting pressure on the ovary forcing the eggs out of the tube. If there was an open area on the ovary, that opening would be the most likely place the eggs would be coming out because it would have the least amount of resistance for the eggs to pass through. The good news is that should it actually was the ovary that popped, fish have 2 so she should still be able to spawn but you won't get as many eggs as if there were 2 active ovaries.
Later on, I noticed the male chasing the female in the same large tank where she was living with five males. At that point, I took her out again and gently pressed to check—this time three eggs came out. This was a positive sign that she was still capable of producing eggs.
From the other ovary.
After researching online, I learned that it's better to move the female to a dedicated breeding tank, especially since five males were putting too much pressure on her. So I isolated her in a smaller breeding tank. I started testing the males one by one by placing each male with her for a few hours to see who would show strong spawning behavior. Some males showed brief chasing behavior, especially when the filter was turned off, but it only lasted 30 seconds to 2 minutes, and then stopped completely.
Using a smaller tank for spawning is actually not the best because under " normal" circumstances, Goldfish lay A LOT of eggs and the milt from the male can really pollute a tank. You really want to use a tank at least 150 liters or greater for spawning these fish.
Since no spawning happened, I decided to isolate the female alone for one full month so she could develop eggs calmly and without any stress. During this month, I maintained a stable temperature between 25.5°C and 26°C, and provided her with a rich and diverse diet including:
decapsulated artemia
dried worms
dried shrimp
dried vegetables
bull heart mixed with garlic and ginger
steamed egg with garlic
This diet is not actually the best for goldfish. They need more vegetable protein than meat protein. Their digestive system is built for constantly eating of vegetable matter. It's hard for them to digest animal protein. What I would do is increase the number of feedings of flakes, pellets or sticks that are dedicated for Goldfish ( which are usually high in vegetable matter) , do 3-4 feedings per day and make 1 of those feedings one of the meat based ingredients you listed. Change the meat choice every day.
After that month, I introduced the best male candidate—the most active and mature male—and left him with her for two more months. The temperature and diet remained exactly the same during those two months. Still, no spawning occurred.
After completing these two months with the male (and the previous month when she was isolated alone), I decided to turn off the heater so the temperature could drop naturally. The tank is now following room temperature, which is currently around 19–20°C.
As I explained, Goldfish ( and Koi) need a period of cold temperatures for them to rest, rejuvenate, and prepare for the spring thaw for spawning. KOi actually do this with ice over their heads.

If they don't get that cold, they don't usually want to spawn when the water warms.

In a dedicated spawning tank, if the fish don't spawn in the first 3-5 days, they probably aren't going to and you'll need to wait for the next "spring " season after the winter. With that said, some of the other commercial goldfish breeders I knew could get their fish to spawn any time of year by controlling the water temps with water chillers to simulate winter whenever they wanted. This way, they didn't need to spawn all of their females at the same time. (A sneaky little trick but can be expensive for the home hobbyist.

) So it's that cold spell that is very important.
One final question:
I have three forms of filtration in the breeding tank:
1. A sponge filter
2. A powerhead with a sponge (strong water movement + oxygen)
3. An air stone
Could the powerhead or this filtration setup be affecting the spawning behavior?
Yes
Should I turn the powerhead on and off at certain times, or should I simply leave everything running normally and let nature take its course?
The breeding pair should not be in the spawning tank so long that a powerhead is even necessary. Stick to just a sponge filter and airstone and a larger tank.
Thank you again, Andy. I appreciate your help.
I'll say this as well, there really is no reason to sex a goldfish by squeezing looking for eggs. Here are some external guidelines to look for:
Male vs. Female goldfish vents
------------------------------ MALE--------------------------------------------- FEMALE
| Feature | Male | Female |
|---|
| Shape | Concave (an "innie") | Convex (an "outie") |
| Protrusion | No protrusion; vent is flat or curves inward | Rounder and thicker; vent protrudes |
| Size | Narrower and more elongated | Rounder and thicker |
If these characteristics are not visible or discernable on your fish, it probably means they are not sexually mature yet.
I've imported some amazing goldfish from Japan in the past where they spawned literally the first night they were placed in our tanks. ( It was the change in water temps. ) I used to breed Comets to feed my Oscars and they too would spawn within a day or two of being put in a spawning tank. My former neighbor was a Koi farmer and I used to help him move his breeders to his breeding pools then back to the ponds a couple of days later. This is how I know that if the fish are conditioned properly, spawning will happen quickly and it is messy.

I'd say that because of the diet and lack of proper prep for the fish, they are not in the best shape to spawn. I'd switch up the diet as recommended for a good 4-6 months and then try again the next spring.
Hope this helps.
