Claiming benefits affecting PR

Hello everyone, apologies if this has been already answered as I did my research and saw a few similar threads but each had a differences.

So I just had a baby with a new EEA partner and I still have my RC I got with the help of previous partner but the divorce is about to be finalised in the court. I have been working full time since the divorce proceedings started and now the new partner wants to apply for Universal Credit. But the forms state that we both apply. I don't want to apply if it affects my PR which is the next step for me after the divorce as I have fulfilled the 5 year requirement and ex was working full time all these years and still is doing so. So what's the advice you would give? Is it safe for me to go ahead and apply? Doesn't seem to be any other option as she can't claim to be single which would be fraud. Any info or tips would be appreciated. Thanks!

You mean applying for ILR under Appendix EU of the Immigration Rules and no claiming benefits shouldn’t affect this.