Pre-Brexit British and their families can def apply for EU Treaty Rights permanent residency (Brits: EUTR2, source:
www.irishimmigration.ie/wp-content/uplo ... -EUTR2.pdf) and (Brit family: EUTR3, source:
https://www.irishimmigration.ie/wp-cont ... -EUTR3.pdf)
Post-Brexit Brits and their families are another kettle of fish altogether.
Q19 in this document (
www.irishimmigration.ie/wp-content/uplo ... h-2022.pdf) describes non-British family members applying for permanent residency using form EUTR3. So if your spouse and children are not British, you'll need this and not the Annexe.
'Q 19. I am currently the holder of a Stamp 4 EUFam Residence Card, which is due to expire in late 2022. Will I be able to apply to apply for permanent residence? Yes. You may be eligible to apply for a permanent residence document using Form EUTR3. Your application will be considered in accordance with the Free Movement of Persons Regulations 2015 and the entitlements guaranteed under the Citizens Rights element of the Withdrawal Agreement. If your application is successful, you will receive a Stamp 4 Residence permission in the State instead of a Stamp 4 EUFam permission as the free movement element no longer applies after 31 December 2020. '
All IRPs, including EUTR2/3 have an expiry date. So you'll have to update even the EUTR2 in a decade. You can also choose to update your TEU50. It is Stamp 4b in the Withdrawal Beneficiary section here:
https://www.irishimmigration.ie/registe ... withdrawal (And for those wondering - yes, the WAB/TEU50 card programme has re-opened, after having been initially closed in 2022. I'm guessing it had to re-open as the cards are needed to prove right not to sign up to EES/ETIAS.)
You may already know, or not care, but the Irish EUTR2 programme does not confer EU mobility rights, like long term residency from other EU states does:
https://immigration-portal.ec.europa.eu ... 0insurance. (Partly because EUTR2 is 'permanent residency' for EU citizens, not 'long term residency' - for non-EU citizens. And partly because Ireland opted out of the long term residency mobility to comply with the Common Travel Area.)