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First it would be very important to have a health check, as females between 25 and 35 are at increased risk of cardiovascular disease and reproductive complications. It would be smart to rule out other issues that might be contributing. BG are susceptible to low thyroid levels, and those should be checked-- thyroid is a very important hormone in avian reproduction.
Several things may help, but nothing is going to work instantly and even if everything gets changed immediately, it may take 2 months to see a difference in her behavior. Make certain she has 14 hr of dark, quiet uninterrupted sleep at night. Photoperiod governs reproductive cycles.
Low fat diet of high quality pellets and veg. No nuts or seeds. High fat=estrogen=reproductive issues.
At last resort I will sometimes try a series of HCG injections; few side effects and safe, but doesn't always work depending on where they are in their cycle. But she has to have health check and lab work first. You could let her have a clutch, and generally 25-30 after the last one is laid they give up and go back to normal. Until the next cycle. But they can have complications and serious problems as well.
She would be very sad and depressed if you gave her up, and from experience I can tell you that a macaw rescue is not going to allow breeding--or they certainly should not. She sees you as her mate, as you said, and it would be mean to give her up.
PS do not remove eggs. That just stimulates them to try again.