FSA and HSA in same year okay?

I will reach the max contribution amount for my HSA in 2022 of $3,650, then will change jobs.  Coverage on the HDHP will remain until 5/31/2022 (contributions will be added through 6/3/2022 as PTO is paid out separately after all paychecks are finished). New health coverage will start 5/9/2022 and I would like to select a non-high deductible plan (contributions can begin as early as 5/26/2022). 

 

Can I contribute to a General Purpose FSA now that I have a non-high deductible plan? 

How much am I allowed?  The full maximum of $2,850?

 

Thank you in advance!