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We use the full-mission $\textit{Planck}$ PR4 data to construct maps of thethermal Sunyaev$--$Zel'dovich effect (Compton-$y$ parameter) in our Universe.To do so, we implement a custom needlet internal linear combination (NILC)pipeline in a Python package, $\texttt{pyilc}$, which we make publiclyavailable. We publicly release our Compton-$y$ maps, which we construct usingvarious constrained ILC ("deprojection") options in order to minimizecontamination from the cosmic infrared background (CIB) in the reconstructedsignal. In particular, we use a moment-based deprojection which minimizessensitivity to the assumed frequency dependence of the CIB. Our code$\texttt{pyilc}$ performs needlet or harmonic ILC on mm-wave sky maps in aflexible manner, with options to deproject various components on all or somescales. We validate our maps and compare them to the official $\textit{Planck}$2015 $y$-map, finding that we obtain consistent results on large scales and10-20$\%$ lower noise on small scales. We expect that these maps will be usefulfor many auto- and cross-correlation analyses; in a companion paper, we usethem to measure the tSZ -- CMB lensing cross-correlation. We anticipate that$\texttt{pyilc}$ will be useful both for data analysis and for pipelinevalidation on simulations to understand the propagation of foregroundcomponents through a full NILC pipeline.

Component-separated, CIB-cleaned thermal Sunyaev--Zel'dovich maps from $\textit{Planck}$ PR4 data with a flexible public needlet ILC pipeline