There are a couple of things that one forgets that one has learned to overcome.
We start off learning language by example but eventually some learn in language classes that there are strict patterns. Also, we come to believe that individual words have single definitive meanings.
Language isn't logical, or rather there's lots in logic that is different from the natural language it was inspired by (and the logical meaning is more constructed by mathematicians for their purposes rather than what people actually use it for. Also, words often have more than one meaning.
'And' in your sentence does not correspond to the logical/boolean 'and'. It means more like 'then' or 'by consequence'.
The logical 'and' is intended to capture truth valued statements. When you are discussing actions like in your sentence, 'and' is more of a marker of a sequence: "X and Y and Z" -> "I expect X will occur which will cause Y to occur then Z will follow".
The Oxford English Dictionary records a number of relevant entries but there is one that is closest to this situation:
- Introducing a consequence.
a. Introducing the historical sequel or consequence of a fact.
1954 G. Vidal Messiah ii. i. 42 The police chief evidently knew all about him >and the conversation was short.
1966 L. Bruce How to talk Dirty i. 17 He cashed the bottles and I got my >twenty cents.
2004 R. Tames Robert Adam 5 His education was disrupted by illness and he >dropped out of university.
b. Introducing the predicted consequence or fulfilment of a command, or of a >hypothesis put imperatively, or elliptically.
1933 D. L. Sayers Murder must Advertise iv. 72 Spray with Sanfect and you're >safe.
1946 R. A. Knox Retreat for Priests vii. 69 Drive out nature with a >pitchfork..and she will still come back. Shut up a beaver in the Zoo, and it will >still make dams.
As to your question about changing the meaning of Jane's original response to one where she holds two things:
- she may follow the rules
- if she gets a better idea she will skip the rules
then she should say:
I will follow the rules, but if I get a better idea I would use this and skip the rules!
'but' is the alternative to and where you want to emphasize that the second clause is possibly contrary to the first.