Is it worth applying for Classics and English at Oxford?

I’m torn between applying for English Lit, English and Classics or just straight Classics. I love English to death and loved Latin GCSE, and though I don’t have any classical a levels (my school doesn’t offer them), I did a Classics summer school run by Wadham College and fell in love with it again. I’d really love to apply for English and Classics, but the course is so competitive with only 13 spots I don’t know if it’s worth it since there’s such a high chance of rejection even for competent students, and I loved my week at Oxford so much that I will be really sad if I don’t get in. I’ve basically been told that it’s not a good idea to apply for a joint honours course at Oxford, and I’ll be completing with private school students who have already studied classics. Is it likely that they’d let me switch to Classics and English in the first term if I got in on English? I would have to do the Classics II course so I wouldn’t want to wait a whole first year of English before switching since then I’d be spending 5 years there! The other option (if I don’t go for English and Classics) would be to apply for Classics and switch to Classics and English after the first year of learning Latin and Greek, but I feel slightly less confident about applying. TLDR: how likely would Oxford be to let me switch to Classics and English if I managed to get in on English Lit or the Classics II course? I love both English and classics but have been advised not to apply to a joint honours course and so am thinking that I should instead go for single honours English or classics, but I love them both so much I don’t really want to let one go