A tit but what type of tit?

I just photographed this bird in my garden in Surrey on 23rd January 2021. I've had four different suggestions as to what it is:

1. A Great Tit that has been in a fight or is moulting (though that would be odd at this time of year)

2. A Blue Tit but with a facial deformity of some sort.

4. A Crested Tit

3. A cross breed of some sort.

Does anyone have an identification they're confident about? Never seen this bird before and am intrigued. We get hordes of Great Tits, some Long-Tailed Tits, the occasional Blue Tit and Coal Tit.

Thanks in anticipation