Doha is one of the airports where a quick trip into the city is feasible alternative, in terms of logistics and cost, to an extended stay airside. And for me a bit of an adventure and a cultural experience, however minor, beats free food and drink and in a comfortable-but-sterile environment. If you do crave a little of the latter, the flights either side of Doha should provide it

But 2 hours will be eaten up by the faffs involved in getting out of the airport into the city and then back. So it's pretty much an either/or decision.

If you opt for the city trip, I'd suggest heading out of the airport as soon as you arrive. You can then weigh up how much you are enjoying your adventure and tailor the return to the airport, and the delights of the lounge, accordingly.

Getting to the airport metro station isn't much of a challenge if you follow the signs. Tickets are cheap at OMR2 (around EUR0.5), though it's far better to get a day pass, costing equivalent to three trips and saving the faff of buying more tickets. You can get to the souq with a change from Red-line to Gold at Msheireb; do your stuff, shop and dine, or maybe walk through the souq to the corniche to get a view of the city.

If you prefer Mall-life you can go straight through on the Red line from the airport to DECC (Doha exhibition and convention centre) for City Centre Mall, in the middle of the West End skyscrapers.

If time is running short, a taxi/uber back to the airport isn't going to break the bank.

A couple of flies in the ointment: I read somewhere that immigration isn't always happy about OK-ing short visits into the city between flights; and it would be useful to be able to ditch your hand luggage. If you have significant baggage, maybe a quick trip to the lounge on arrival to park it there is the answer. Then of course the elephant in the room is satisfying whatever Covid-related requirements are in force when you visit.