I noticed it's not very straightforward where the save games for Tomb Raider (2013) are stored. Depending on how you purchased the game, it's in a different location.

Note that it is not really straightforward to restore the saves afterwards (see below). For that reason, it's better to enable Steam Cloud and have your files synced to the cloud.

For the Steam version, it is located at:

<Steam folder>\userdata\<profile id>\203160\remote

Note that the ID for the game may be different, although, if you have the latest version, it should be as displayed. In any case, if you can't find it, try searching for files called profile.dat or save1.dat.

For the retail box or Origin, the s  ...