I would rehome the female and add a male as you planned. If you want a community of parrots removing the female is the solution. Once female parrots start laying they will keep laying, even when isolated in a tank on their own. There's always people looking for female bp so rehoming shouldn't be hard.
There's enough space in the tank for 3x parrots to live in. It's up to you to keep up with additional maintenance to maintain water quality.
If you're wanting something parrot like but a bit different send me a PM, I have lots of sexed juveniles.
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