Need help with a price estimation, please & thankyou

It’s a 2846, the case is used on 2 models, SC indicates the centre second model like this. A very early one judging by the low 55m serial. Being a gold capped one it is the least desirable of the 3 metal options ( gold cap, steel, solid gold in that order but opinions differ) but as long as the cap is intact and not damaged it looks good. The dial seems fully original with a little light patina. The movement looks pretty clean but there is a lot of what looks like either crud/degraded gasket or corrosion around the caseback so I'd be careful there. If the former, it probably hasn't been serviced in decades (mentally add ~£200/$250 to sort this) despite any claims to the contrary by the seller, if the latter you'll never get it waterproof, admittedly not really a big issue with a near 70 year old watch, but may be suggestive of other nasties. Of the 2 options I'd much prefer unserviced and covered in crud/gasket as that can be remedied.

Factoring a service, I'd want that at no more than £500/$600 personally but the ultimate fair price would depend on how healthy it is (with proof) and whether the seller is professional or a just a regular collector. These are not all that rare so if the price is steep, walk away and keep looking.

Here are a couple of mine, one steel and one solid gold, note the dial similarity of the gold one with the one you post.