Texture Compression in WebGL

Use texture compressionA method of storing data that reduces the amount of storage space it requires. See Texture Compression, Animation Compression, Audio Compression, Build Compression.
See in Glossary in WebGLA JavaScript API that renders 2D and 3D graphics in a web browser. The Unity WebGL build option allows Unity to publish content as JavaScript programs which use HTML5 technologies and the WebGL rendering API to run Unity content in a web browser. More info
See in Glossary to create builds that target platforms based on the texture compression3D Graphics hardware requires Textures to be compressed in specialized formats which are optimized for fast Texture sampling. More info
See in Glossary formats they support. The texture compression format value you set here has priority over the Player settingsSettings that let you set various player-specific options for the final game built by Unity. More info
See in Glossary texture compression format value. To run your game on both desktop and mobile browsers with compressed textures, you might want to create two builds targeting:

Desktop browsers with DXT set as the texture compression format
Mobile browsers with ASTC set as the texture compression format

Create builds for desktop and mobile browsers from a script

You can run a build for both desktop browsers and mobile browsers with the corresponding texture compression formats simultaneously using a script. For example:

using System.Collections;
using System.Collections.Generic;
using UnityEngine;
using UnityEditor;
using System.Diagnostics;
using System.IO;
using UnityEditor.Build.Reporting;

public class comboBuild
{
    //This creates a menu item to trigger the dual builds https://docs.unity3d.com/ScriptReference/MenuItem.html 

    [MenuItem("Game Build Menu/Dual Build")]
    public static void BuildGame()
    {
      //This builds the player twice: a build with desktop-specific texture settings (WebGL_Build) as well as mobile-specific texture settings (WebGL_Mobile), and combines the necessary files into one directory (WebGL_Build)
      
      string dualBuildPath    = "WebGLBuilds";
      string desktopBuildName = "WebGL_Build";
      string mobileBuildName  = "WebGL_Mobile";

      string desktopPath = Path.Combine(dualBuildPath, desktopBuildName);
      string mobilePath  = Path.Combine(dualBuildPath, mobileBuildName);
      string[] scenes = new string[] {"Assets/scene.unity"};

      EditorUserBuildSettings.webGLBuildSubtarget = WebGLTextureSubtarget.DXT;
      BuildPipeline.BuildPlayer(scenes, desktopPath, BuildTarget.WebGL, BuildOptions.Development); 

      EditorUserBuildSettings.webGLBuildSubtarget = WebGLTextureSubtarget.ASTC;
      BuildPipeline.BuildPlayer(scenes,  mobilePath, BuildTarget.WebGL, BuildOptions.Development); 

      // Copy the mobile.data file to the desktop build directory to consolidate them both
      FileUtil.CopyFileOrDirectory(Path.Combine(mobilePath, "Build", mobileBuildName + ".data"), Path.Combine(desktopPath, "Build", mobileBuildName + ".data"));
    }  
}

You can modify the WebGL template’s index.html file to select the appropriate data file if there’s support for the texture compression format extension:

// choose the data file based on whether there's support for the ASTC texture compression format
      var dataFile = "/{{{ DATA_FILENAME }}}";                                  
      var c = document.createElement("canvas");                                 
      var gl = c.getContext("webgl");                                      
      var gl2 = c.getContext("webgl2");                                    
      if ((gl && gl.getExtension('WEBGL_compressed_texture_astc')) || (gl2 &&   
              gl2.getExtension('WEBGL_compressed_texutre_astc'))) {             
        dataFile =  "/WebGL_Mobile.data";                                       
      }                                                                         

      var buildUrl = "Build";
      var loaderUrl = buildUrl + "/{{{ LOADER_FILENAME }}}";                    
      var config = {                                                            
        dataUrl: buildUrl + dataFile,                                           
        frameworkUrl: buildUrl + "/{{{ FRAMEWORK_FILENAME }}}",                 
#if USE_WASM                                                                    
        codeUrl: buildUrl + "/{{{ CODE_FILENAME }}}",                           
#endif                                                                          
#if MEMORY_FILENAME                                                             
        memoryUrl: buildUrl + "/{{{ MEMORY_FILENAME }}}",                       
#endif
#if SYMBOLS_FILENAME                                                            
        symbolsUrl: buildUrl + "/{{{ SYMBOLS_FILENAME }}}",                     
#endif                                                                          
        streamingAssetsUrl: "StreamingAssets",                                
        companyName: {{{ JSON.stringify(COMPANY_NAME) }}},
        productName: {{{ JSON.stringify(PRODUCT_NAME) }}},
      productVersion: {{{ JSON.stringify(PRODUCT_VERSION) }}},                
        showBanner: unityShowBanner,                                            
     };

Additional resources

Distribution size and code stripping

WebGL templates

Unity Manual

Texture Compression in WebGL

Create builds for desktop and mobile browsers from a script

Additional resources