Yup, tell ’em the value’s gone up, usually an agreed value is an upper ceiling, that’s your lot. Worth checking the wording, or calling to ask about value changes between one renewal and the next. There might be some leeway, but I doubt it.
Edit: might not be agreed value basis, just a market value you declared to help them work out terms. Cover is probably new for old, but you should check.
Agreed value is usually for unique items which are hard to value, or can only be valued by sale at auction – very rare classic cars, works of art.
You don’t need to agree a value for you watch, because you can look up replacement cost very easily – like you just did.