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Half-Life 2 is currently 100% off for its 20th anniversary, plus a major update
(store.steampowered.com)
Bonus: it also seems that the episodes have been rolled into the base game. Full details of the anniversary update.
No. They publicly stated the cancellation of episode 3 years ago when it was still relevant, and is one of the reasons I was always confused about every single rumor that HL3 was going to be a thing; they never announced a HL3 and they already said Episode 3 wasn't coming out. Where the heck did the HL3 rumors come from?
The cliffhanger ending of E2 would do it.