IDLE doesn't know where to start parsing

Bug report

Bug description:

After making a typo in IDLE, I noticed some unexpected calltips and incorrectly matched parentheses. These seem to be caused by the parser not knowing where the current prompt begins. I'll try to send in a PR tonight.

Examples

Parentheses are incorrectly matched:

>>> (1 2
...
SyntaxError: '(' was never closed
>>> ) # IDLE highlights this as the closing paren

Matching parentheses aren't detected (from #85560):

>>> (1 if 0
     else 0) # IDLE beeps here, not detecting the opening paren

Calltip appears unexpectedly (Python 3.12; a new error message hides this issue in the latest version):

>>> (1 2
...
SyntaxError: incomplete input
>>> ( # this opens the calltip for `input`

CPython versions tested on:

3.12, CPython main branch

Operating systems tested on:

macOS

Linked PRs

• gh-124554

Start by reproducing the IDLE parsing behavior with the parenthesis-matching and calltip examples in the issue on the listed Python versions. Trace how IDLE determines the current prompt boundary, then verify that matching parentheses and calltips behave correctly for those examples.