"Sorry, Doc, popular vote," Spider-Man says, not at all apologetic as he looks over to Strange, who merely sighs and rubs the bridge of his nose. Spider-Man stands up, shaking out his legs even though he hasn't been sitting for long. "I'll check that the tunnels are still working before we go." If not just to prevent his murder if they go into the sewers for nothing.
He prepares to call Coulson on his wrist communicator, but pauses. The thing is basically permanently on speaker, and he still isn't sure how exactly the camera works for his communicator, so catching either Loki or Ock in frame would be less than ideal. He would step out if it weren't for the previous experience of Ock trying to kill Ceres the second he did. She likely wouldn't try again, but call him cautious.
So, instead he jumps up to the ceiling. He hates the ceiling in the Sanctum Sanctorum because Strange's idea of decor is tiled ceilings, intricately engraved with eyes that protrude and actually open. He avoids stepping on the eyes, obviously, as he stands upside down on the ceiling.
There. He's still in the room but there's no way anyone else will be in frame. Everyone will likely still hear the conversation, but that isn't something he's too worried about. It just means he won't have to repeat himself. He calls Coulson.
"Spider-Man," greets just about the most boring voice one can imagine. Most would not imagine the owner of the voice to be one of S.H.I.E.L.D.'s highest ranking agents, or maybe you would if S.H.I.E.L.D. comes off that boring.
"Coulson, do the tunnels at Midtown to the Tricarrier still work?" Spider-Man can tell immediately that his question has him surprised, but it's not like anyone knows of his little mission to harbor Loki and Ock away from the Avengers.
"They should. Why? Can you not get onto the Tricarrier your usual way?" Being firing a web while it's up in the sky and hauling himself up. "Can the alternate spider you're with not reach it with their webs?" Coulson continues, clearly aware of the story he gave the Avengers; he's showing Ceres around New York while the 'adults' look for Loki and Ock.
"What? Who told you?" It does save him from having to repeat his lie, but getting snitched on to Coulson of all people, that bugs him. No pun intended.
"Black Widow. It's important to know the whereabouts of beings from other universes... or if someone responsible is watching them."
"Yeah, that make sense– Wait, responsible? Me?" He acts shocked, putting a hand to his chest. "Shucks, ya think?" Maybe making a show of being bashful is laying it on thick, but the bigger the performance, the easier he can dodge the questions he was asked. "What else do you think about me?" he fishes for more praise, fully expecting the eye roll and end of the call. "And we're good to go," he says to the group, proudly putting his hands on his hips and looking up (down?) at them.