How to change the Wolfram Alpha query timeout for Ctrl+=?

Question

Sometimes retrieving results from Wolfram Alpha takes time and the default query timeout is not sufficient.

For engagement with Wolfram Alpha implicitly for expr containing Units or Entities one can use the following wrapper to temporarily control the time out:

ClearAll[wolframAlphaQuery];

wolframAlphaQuery[time_][expr_]:=Block[{
    WolframAlphaClient`Private`$AlphaQueryTimeConstraint=time
},
    expr
];

But for Ctrl+= interpretation this is not applicable and sometimes these queries result in Timed out while parsing. Click to retry.:

Failure["TimedOut", Association[ "MessageTemplate" -> "A network operation timed out. Please try again later.", "MessageParameters" -> Association[], "Query" -> ...]]

What is the way to change the timeout for this?

WolframAlpha[...] is a programmatic way to access =+=+= but what is the equivalent for Ctrl+= (Inline Free-form Input)?