Try this
- State that you are stopping and whether a practical decision remains urgent.
- If a return time is available, propose it; otherwise say when you expect to know more. Avoid continuing through a different channel immediately.
A worked example
“I’m running out of attention. Can we stop and choose a time to continue?”
An invented example to adapt, not a real exchange or a script you have to follow.
Before you leave it here
If you cannot offer a return time yet, say that plainly rather than making one up.