COVID Layoff, then a lump sum payment (likely PPP loan related)...should I be claiming unemployment?

COVID-related: I was given a lump sum intended to equal my pay from May 31 until July 31. Some posts on here advise I do not qualify for unemployment benefits until after July 31, others suggest the date of the lump sum is when I became eligible to (re)-apply for benefits. I was unemployed when COVID iniitially shut things down, then I was re-employed for 3 weeks when the business's PPP loan came through, then they eliminated positions based on forecasting post-Covid. (I work for a school.) The conflicting information confuses me. Can someone please clarify?

Confusion is in reference to responses to question: "In Florida, How Does Unemployment Work After Receiving Lump Sum Of Severance?"