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We haven't expressed excessive keenness and are wanting, vaguely, to play it cool and not come across as 'the idiots relocating from Brighton with cash'. Happy to pay over asking for it but not silly money which I would worry the agent would push for if I said tomorrow "Will offer asking if you take it off the market now" etc.
Difficult to judge how sensible the agent is from a couple of calls :/
A sensible agent would advise their client to wait until you've seen the property before any offer is accepted. They obviously know you're keen so will want the viewing to go ahead.