Crown is a replacement, pushers (at least the reset one, the start/stop is hard to make out and on the shot of the back looks new) are stubby and look more like the 105.012's. Dial lume doesn't look half bad but doesn't match the lume on the chrono hand and the lume's missing from the hours/minutes, leading me to think that the dial's been redone. Dial's further spaced "T's" look like a later 105.012 (65 or 66) or 145.012 - the earlier 105.012's "T's" (1963 through mid 1965, at least what I've seen from various examples) are moved further in. Case back would match a 145.012, unless it's a 105.012-66 with the CB case back, though the non-faceted lugs and narrow lumes aren't correct for that, and you'd have to correlate all of it with the movement serial. Bezel appears correct but is splotchy and worn. Case itself doesn't seem overly polished but is hard to tell from your pictures.
All together fits closest to either a 145.012 or a 105.012-65 / 66 (with replaced parts) but I'm sure a more learned eye could give you a better assessment. Seems like you'll need more and higher resolution pictures of the important bits to discern between a well worn example with potentially one or two replaced/redone parts and an absolute franken. Either way the $4999/5000 seems a bit much.
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