回答
This is not a piece of advice to you I'm talking to myself for my practice of writing skills.
I'm sorry , I've find another sentence pattern about 'want'.
a) I want you to ask something. :TED timing= 0:51
b) I want to ask you something. :collins 'want 2'
c) I want to you ask something.
d) I ask you to want something. :collins 'ask 2'
e) I ask you something to want.
f) I ask to want you something.
:the verb 'want' is connected with ('want' + to + verb) in collins 2;
:the verb 'ask' word order is (ask + person + to + verb)in collins 2;
:the verb 'want' is connected with ('want' + person + to + verb) in TED.
TED Amy Cuddy "Body language makes a person" Timing = 0:51
https://youtu.be/Ks-_Mh1QhMc?t=51
I'm sorry to ride on Kevin-san's answer.
a) I want you to ask something.
b) I want to ask you something. :collins 'want 2'
c) I want to you ask something.
d) I ask you to want something. :collins 'ask 2'
e) I ask you something to want.
f) I ask to want you something.
I've searched grammar about sentence pattern on the web but couldn't find decisive one.
so I've searched collins dictionary whether similar example sentences are there. the verb 'want' is connected with 'to verb' ('want' + to + verb). verb 'ask' word order is (ask + person + to + verb).
I suppose the sentence pattern of 'b),d)'d be the 4th sentence pattern.
:want
https://www.collinsdictionary.com/dictionary/english/want
:ask
https://www.collinsdictionary.com/dictionary/english/ask
:sentence pattern
https://www.alohaenglish.jp/sentence-pattern4/