Georgian capital letter “Ⴒ” (“tar”) in pdfLaTeX

Question

I am trying to use “Ⴒ” (Georgian capital "tar" {U+10b2}) and “ք” (Armenian "keh" {U+0584}) as special variable names in a document compiled with pdflatex on Overleaf. The document is 100% English. I chose those characters because they look like the superimposition of “P” + “L” → “Ⴒ”, and “p” + “f” → “ք”

I got the “ք” (Armenian) working with this [1].  Is there a similarly simple way to produce “Ⴒ” (Georgian)?

From what I've read [2, 3, 4], I think the problem is due to a lack of a native TeX font that supports Georgian. Those solutions appear to work for XeLaTeX and LuaLaTeX, because they are able to use TTF fonts. I don't understand any of this well, so I may be mistaken. Adding \usepackage[georgian]{babel} caused undecipherable error messages.

This seems like a ridiculous amount of reading and digging to insert two standard unicode characters. Isn't there a simpler way?

\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage[OT6,T1]{fontenc}

%--------------------------------------------------------------------
% Credit: 'egreg' https://tex.stackexchange.com/a/443141/103622
\newcommand{\armenian}{\fontencoding{OT6}\fontfamily{cmr}\selectfont}
\DeclareTextFontCommand{\textarmenian}{\armenian}
%--------------------------------------------------------------------

\newcommand{\keh}{\textarmenian{ք}}  ## WORKS

% \newcommand{\tar}{\▒▒▒{Ⴒ}}         ## DESIRED

\begin{document}

keh: \keh{} ... in equation:  $\keh{}^\keh{}$     %% WORKS

% Tar: \tar{} ... in equation:  $\tar{}^\tar{}$   %% DESIRED

\end{document}

Answer 1

Would this alternative approach suffice?

\documentclass{article}
\begin{document}
\begingroup\ooalign{P\cr L}\endgroup
\end{document}

Answer 2

For completeness, there is a Georgian font package for pdflatex, see https://www.ctan.org/pkg/mxedruli. The Tar character is part of the Xucuri set, which can be accessed with \usepackage{xucuri}. The input is a set of ascii-based character combinations, with Ⴒ made by .T. Note that the character looks a bit different, like the difference between a serif and a sans serif font (although I don't know anything about Georgian, so maybe the difference is caused by something else entirely).

MWE:

\documentclass{article}
\usepackage{xucuri}
\usepackage{amsmath}
\def\tar{\raisebox{-1pt}{\text{\begin{xucr}.T\end{xucr}}}}
\begin{document}
$x=\tar(1)$
\end{document}

Result:

Answer 3

You would use the T8M/T8K encodings.

This requires the georgian CTAN package, which on TeX Live 2019 should be installed to texmf-local.

\documentclass{article}
\usepackage[T8M,T8K,T1]{fontenc}
\usepackage{amsmath}

\newcommand\mathTar{\mathord{\text{\usefont{T8M}{cmr}{m}{it}\symbol{"93}}}}

\begin{document}
\( \mathTar = P \cdot L \)
\end{document}

As you can see, the “Computer Modern Roman” Georgian font is really a closer match for DejaVu Serif. You might instead try the sans-serif cmgt font family, or something like this, which matches the “Dejavu Georgian” font family to DejaVu Serif:

\documentclass{article}
\usepackage[T8M,T8K,T1]{fontenc}
\usepackage[scaled=0.95]{DejaVuSerif}
\usepackage[italic]{mathastext}
\usepackage{amsmath}

\newcommand\mathTar{\mathord{\text{\usefont{T8M}{djg}{m}{it}\symbol{"93}}}}

\begin{document}
\( \mathTar = P \cdot L \)
\end{document}