Re: Your parenting style
there is a possible 4rth scenario, an off shoot of 3rd one that I see myself doing if my daughter ever plays number 3 on me.
I will agree with her but tell her to come with me to her room. I will make her sit and aske her to tell me about her day while I clean her room. Maybe, maybe later I give her a loving lecture on how she is all grown up and should do her work, herself. But that will only be a lecture. I might do it again for her.
am I a bad father? I doubt about it. There is a fine line between spoiling your kids and provide them with emotional security where they know that they can count on their parents for anything without being judged or lectured.