For the most part, the laughs come from Pidge, Hunk, and Lance's hijinks with the Galra Sentry they reprogram to understand fun.
'Bloodlines' is by far most comedic episode of season 5, though it'd be unfair to classify as a purely comedic episode like season 2's 'Space Mall' or season 4's 'The Voltron Show!'. As for Allura, she and Lotor search through the many artifacts in Haggar's collection, looking for something that may clue them into the secrets of Altean Alchemy and aide in their search for unlimited Quintessence. Meanwhile, the newly-crowned Emperor Lotor welcomes his new allies to Galra headquarters, inviting Shiro and Coran to cross-references their intel with the Galra archives and allowing Pidge, Hunk, and Lance to roam around as they see fit. After sitting out most of season 5, Keith is finally brought to the forefront when he's sent on a mission to extract an embedded Blades of Marmora operative.