Altaïr you're killing me, now I'll have to do a lunar assist chain into venus assist(s?) into V-leveraging all on mobile when I decide to get a record myself
If you want a fair competition, here is my best attempt on mobile:
Mercury mission
16% of remaining fuel on landing. ANAIS is so efficient that it's unfair otherwise, it even allows to complete the challenge without gravity assist.
However I don't think that lunar assists will help much: I didn't try recently, but from my experience the Moon can not provide you enough speed to reach Venus at an appropriate level. Especially that it's not very massive and can't deflect your trajectory by a lot, and as soon as your trajectory exists the Earth SOI you can't do it anymore.
That depends on your relative velocity to Venus, if you go for a normal Venus transfer for example, no amount of gravity assists will get your orbit low enough because more relative velocity is needed. 2 is pretty likely.
That's correct. Lowering the orbit doesn't just depend on the number of assists, it would be too simple. Two passes are needed because a single pass can't deflect your trajectory enough, but more assists won't help. Once your exit velocity is in the exactly opposed direction of Venus velocity the game is over. Or you have to use the V-leveraging technique, but it will cost fuel. In my opinion it's still better to aim for a low enough orbit while you're making your injection burn from LEO, because at least you benefit from the Oberth effect. V-leveraging is done through deep space maneuvers, which are by definition less efficient.