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Since you are departing the USA it would depend on the airport as to whether (e.g.) there was First lounge provision (mostly that isn't a big deal). Plus there may be additional baggage allowances, if relevant. Using the First Wing as a short cut alternative to Flight Connections (assuming Europe doesn't mean UK......) would also be worthwhile to some extent but the time to do a TP run (and consequential security) wouldn't make for a strong case You could do a calculation on the extra Avios side to see if it's worth a TP run, which I suspect is unlikely, the cheapest is likely to be something like LGW-EDI or GLA, but see the TP run thread or the myriad other threads asking similar question to get inspiration.