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I wouldnt faff around. Iirc this is that lovely Ritchey Breakaway disc gravel bike? Cant be many of them about. I'd recognise one of mine in the street as well. I'd be all over retreiving it by what ever means and follow up with the paperwork afterwards. If needs Id sit there with a hack saw and spare blades for half an hour. What are the police going to say even if they do bother to stop if they see it? I have sat in Cambridge town centre cutting a bike free years ago when I lost the key. No one batted an eyelid and just walked past me.
Unlikely the current "owner" is the person who nicked it anyway.
How sure are you that's your bike? If you have the serial number and or other proof of ownership then lodge another report and then ask for CCTV footage from the pub and hopefully spot the 'owner'. Also get your mates around with an angle grinder, then give the police a courtesy call saying you are reclaiming the bike.