Profiler Error: record.__enter__() missing 1 equired

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### Bug description


### What version are you seeing the problem on?

v2.1

### How to reproduce the bug

just set the profiler like this:
`schedule_config = {'wait': 10, 'warmup': 1, 'active': 1, 'repeat': 1}
profiler = PyTorchProfiler( dirpath=save_dir, filename=filename, record_shapes=True, with_stack=True, with_flops=True, with_modules=True, schedule=torch.profiler.schedule(**schedule_config))
trainer = pl.Trainer( .... profiler=profiler)`

### Error messages and logs

```
# Error messages and logs here please
```


### Environment

Current environment

```
- Lightning Component Trainer
- PyTorch Lightning Version 2.0.8:
#- Lightning App Version (e.g., 0.5.2):
- PyTorch Version (e.g., 2.1.1):
- Python version (e.g., 3.9):
- OS :Linux
- CUDA/cuDNN version: 11.8
#- GPU models and configuration:
- How you installed Lightning pip
- Running environment of LightningApp (e.g. local, cloud): cloud
```

### More info

_No response_

cc @carmocca

Start by reproducing the reported configuration with PyTorchProfiler and the supplied torch.profiler schedule on the stated Lightning and PyTorch versions. Trace where the profiler context is entered when the schedule becomes active, then verify that the configuration completes without the reported record.__enter__() error.

Written by the indexing model from the issue text.