You can customize the tag info that Media Center Master users for all of the 3D types, although you'll need to edit your Windows registry settings for Media Center Master manually as there are no Settings & Preferences UI options to do so yet.

If you feel capable of doing so, go under:

HKCU\Software\Peter Souza IV\Media Center Master

Create a bunch of new values (string) named:

Renamer_3D_HSBS
Renamer_3D_FSBS
Renamer_3D_HTAB
Renamer_3D_FTAB

Set them to whatever values you want. If the values are blank (or the values don't exist), MCM will use these default values:

HSBS-3D
FSBS-3D
HTAB-3D
FTAB-3D

For your case, I would set them to something like:

HSBS-3DBD
FSBS-3DBD
HTAB-3DBD
FTAB-3DBD

But you can do it any which way you like. Restart Media Center Master so it loads the new values from the registry (it caches those settings).

Here's the 3D support that's coming to Media Center Master during movie renames (includes
the download parser if it is configured to auto-rename during a parse):

If the folder or video file name contains indications of 3D (keywords such as SBS,
3D, HTAB, etc.), the renaming features of Media Center Master will look for a token
named "3D" and replace it with text associated with what kind of 3D the movie is.
This text can be customized, but I'll use the default text below in examples:

o If the folder or video contains "HSBS" or "Half SBS", the title is treated as Half-SBS.
o If the folder or video contains "HTAB" or "Half TAB", the title is treated as Half-TAB.
o If the folder or video contains "FSBS" or "Full SBS", the title is treated as Full-SBS.
o If the folder or video contains "FTAB" or "Full TAB", the title is treated as Full-TAB.

(this is neither case-sensitive nor do punctuation or spacing matter much)

For premium users only: if the folder or video file contains "3D" or just "SBS", but
none of the above, the video will have deep frame analysis performed (if the option
is enabled) to determine if it is HSBS, HTAB, FSBS, FTAB. Please note that HSBS and
HTAB detection is an imperfect process and while it is typically very accurate at this
point, it can possibly mistake non-3D movies for 3D and 3D movies for non-3D therefore
it's recommended for you to rename your 3D movie folders manually if you want to maintain
absolutely accurate descriptions.

If none of these keywords are detected or the installation isn't premium or the option
to perform deep video analysis for 3D content is disabled, then no 3D detection or
handling will occur.

o By default, the text for replacing the Half-SBS rename token is "HSBS-3D".
o By default, the text for replacing the Full-SBS rename token is "FSBS-3D".
o By default, the text for replacing the Half-TAB rename token is "HTAB-3D".
o By default, the text for replacing the Full-TAB rename token is "FTAB-3D".

The rename token is simply "3D" to be used in the movie rename option in Settings &
Preferences -> Organization. If this token doesn't exist and a 3D movie is automatically
renamed, all indications of 3D may be lost. If this token exists and a non-3D movie
is automatically renamed, the "3D" token will be removed.

For example, a Half-SBS 1080p copy of "The Avengers" (2012) with a file or folder name
of "the.avengers.2012.3d.hsbs" and a movie rename pattern of "T T (Y) [Q] [3D]" will
be renamed to "The Avengers (2012) [1080p] [HSBS-3D]" while a non-3D copy of the same
movie named "the.avengers.2012" will be renamed to "The Avengers (2012) [1080p]" (there
won't be an empty pair of brackets "[]").