score:9
I am going to repeat the quotation I gave in a previous answer on this:
The Home Office Guidance for the Common Travel Area, updated in April 2020, has this to say about your situation:
People without leave who have previously been refused leave to enter the UK
A person who has been refused entry and has not since been given leave to enter or remain requires leave to enter. Where you notice such a person arriving in the UK from within the CTA, you must submit them to further examination in the usual way. If you decide to refuse leave to enter, you must give directions for removal either to:
- the place within the CTA from which the passenger arrived
- another appropriate country
If such a person enters without leave and is subsequently noticed, they are an illegal entrant and they may be removed without refusal of leave to enter under paragraph 9 of schedule 2 of the Immigration Act 1971.
Its right there in the guidance -
It is not legal to enter the UK via the Common Travel Area if you have been refused entry previously and not subsequently been granted leave to enter.