So I think a really effective leader could maybe.
Identify 3 very rapid priorities and outline them clearly and drive them very hard right now.
Say, defence spending, public order policing, energy price cap OR cost of a few basics.
That's just off top of head, of course.
Publish some "lightning" actions and put the machinery of govt behind driving them with some visible impacts.
Plus, do some effortful highly impactful comms, think Sturgeon during Covid (yes I know but people liked it at the time).
In that way, gain back trust and lean into the fact that most people do not want a 147th PM in 5 years.
Use the time this buys you to generate and present a simpler, clean plan for subsequent yrs of Parliament, with clear visible deliverables and timescales in few key areas.
Not easy but could be done. Tony Blair could have done it at his peak.