[clsi] prepare for clsi-cache survey (#29274)

* [clsi] add stats and timings to compile response from clsi-cache

* [clsi] set downloadedFromCache when previously downloaded for synctex

Assumption: every compile will emit an output.log. When the output.log
is missing, but the output.synctex.gz exists, it must have been
downloaded from the cache.
GitOrigin-RevId: 41ea34880931e3c43dda3bc9eb26c0d02054894d

services/web/app/src/Features/Compile/ClsiCacheController.mjs

@@ -123,6 +123,8 @@ async function getLatestBuildFromCache(req, res) {
       clsiServerId,
       clsiCacheShard,
       options,
+      stats,
+      timings,
     } = await ClsiCacheManager.getLatestCompileResult(projectId, userId)
 
     let { pdfCachingMinChunkSize, pdfDownloadDomain } =
@@ -138,6 +140,8 @@ async function getLatestBuildFromCache(req, res) {
       pdfDownloadDomain,
       pdfCachingMinChunkSize,
       options,
+      stats,
+      timings,
     })
   } catch (err) {
     if (err instanceof NotFoundError) {

services/web/app/src/Features/Compile/ClsiCacheManager.js

@@ -107,7 +107,16 @@ async function tryGetLatestCompileResult(projectId, userId, signal) {
   const [, editorId, buildId] = metaLocation.match(
     /\/build\/([a-f0-9-]+?)-([a-f0-9]+-[a-f0-9]+)\//
   )
-  const { ranges, contentId, clsiServerId, compileGroup, size, options } = meta
+  const {
+    ranges,
+    contentId,
+    clsiServerId,
+    compileGroup,
+    size,
+    options,
+    stats,
+    timings,
+  } = meta
 
   let baseURL = `/project/${projectId}`
   if (userId) {
@@ -150,6 +159,8 @@ async function tryGetLatestCompileResult(projectId, userId, signal) {
     clsiServerId,
     clsiCacheShard,
     options,
+    stats,
+    timings,
   }
 }