### Description


We need to access the time at which a given DAG was parsed last.

Airflow Version : 2.2.2 and above.

### Use case/motivation

End users want to run a given DAG post applying the changes they have done on them. This would mean that the DAG should be parsed post the edits done to it. Right now the last parsed time is available by accessing the airflow database only. Querying the database directly is not the best solution to the problem. Ideally airflow should be exposing APIs that end users can consume that can help provide the last parsed time for a given DAG.

### Related issues

Not Aware.

### Are you willing to submit a PR?

- [ ] Yes I am willing to submit a PR!

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

type=positive_int(allow_zero=False),
    help="The number of next execution datetimes to show",
)
ARG_MARK_SUCCESS = Arg(
    ("-m", "--mark-success"), help="Mark jobs as succeeded without running them", action="store_true"
)
ARG_VERBOSE = Arg(("-v", "--verbose"), help="Make logging output more verbose", action="store_true")
ARG_LOCAL = Arg(("-l", "--local"), help="Run the task using the LocalExecutor", action="store_true")
ARG_DONOT_PICKLE = Arg(
    ("-x", "--donot-pickle"),
    help=(
        "Do not attempt to pickle the DAG object to send over "
        "to the workers, just tell the workers to run their version "
        "of the code"
    ),
    action="store_true",
)
ARG_BF_IGNORE_DEPENDENCIES = Arg(
    ("-i", "--ignore-dependencies"),
    help=(
        "Skip upstream tasks, run only the tasks "
        "matching the regexp. Only works in conjunction "
        "with task_regex"
    ),
    action="store_true",
)
ARG_BF_IGNORE_FIRST_DEPENDS_ON_PAST = Arg(
    ("-I", "--ignore-first-depends-on-past"),
    help=(
        "Ignores depends_on_past dependencies for the first "