"Beg to Report" shares the disc with "Dobrý voják Švejk" ("The Good Soldier Švejk"), whose review I'd point you to for a general description of the picture quality applicable to both films.

Special thanks to Nikoloki, a regular @ the Zóna discussion board, for making this here comparison possible! (c:

Just one additional note regarding this particular film - as per the below title card, two shots damaged in the original negative were supplemented with the duplicate negative:

But I found 3 instances [of 3, 196 & 3 frames in length, respectively] where the PQ visibly degrades:

Update: Thanks to our reader Martin J. for pointing out another instance where a bunch of frames were dropped in from an inferior source:

Update #2: According to XYZ, another Zóna patron, "the film's opening sequence, comprising white titles on black background, and - quite illogically - accompanied by a dialogue between Švejk and Lukáš, suggests the titles should've been printed over the picture. Unfortunately, this sequence has not been preserved in the Czech version, but it still exists in the original prints of the Russian version." And thanks to Martin J. again, we now have a sample therefrom: