FormerlyHemlock
Hero
An arcane trickster, using a SHIELD (he have the feat), and a sword, can sheathe the sword, cast one spell, and drow the sword WITH Interacting with Objects Around You (free action)?
By RAW, yes. You can interact with one object. A sword is an object.
At my table I'd even let you actually do it. Some DMs will not, but I would, because it seems to me within the spirit of the rules. It does mean that you have to choose in advance whether you're going to be Shielding or threatening opportunity attacks, and you can't use an arcane focus without dropping your sword outright.