Living in Reunion Island

I have a British passport. Now that the UK has left the EU, would I have to leave Reunion Island after 90 days, or can I extend my visa and possibly get a permanent residence.

As far as I'm aware, if you don't have a carte de séjour (residence permit) you will only be allowed to stay in Reunion for 90 days before having to leave

@champacs Thank you for your reply and advice.   I will have to find out how to get a Residence Permit. Thanks again.