[BUG] Post install hook not running from dependency

Is there an existing issue for this?

• I have searched the existing issues

This issue exists in the latest npm version

• I am using the latest npm

Current Behavior

I have package A that has package B listed as a dependency, package B has a post install hook defined.
When package B is installed directly by a project the post install script fires as expected.
However when package A is installed the post install script for package B is not being called. I have passed --foreground-scripts to ensure nothing is being missed.

Expected Behavior

When a package has a dependency that has a post install hook defined, that post install hook should be called when the package is installed directly OR as a dependency.

Steps To Reproduce

1. In this environment...
2. With this config...
3. Run '...'
4. See error...

Environment

• npm: 9.5.0
• Node.js: v18.14.2
• OS Name: Ubuntu
• System Model Name: Mac Book Pro
• npm config:

_auth = (protected)
access = null
all = false
allow-same-version = false
also = null
audit = true
audit-level = null
auth-type = "legacy"
before = null
bin-links = true
browser = null
ca = null
cache = "/Users/XXXXX/.npm"
cache-max = null
cache-min = 0
cafile = null
call = ""
cert = null
ci-name = null
cidr = null
color = true
commit-hooks = true
depth = null
description = true
dev = false
diff = []
diff-dst-prefix = "b/"
diff-ignore-all-space = false
diff-name-only = false
diff-no-prefix = false
diff-src-prefix = "a/"
diff-text = false
diff-unified = 3
dry-run = false
editor = "vi"
engine-strict = false
fetch-retries = 2
fetch-retry-factor = 10
fetch-retry-maxtimeout = 60000
fetch-retry-mintimeout = 10000
fetch-timeout = 300000
force = false
foreground-scripts = false
format-package-lock = true
fund = true
git = "git"
git-tag-version = true
global = false
global-style = false
globalconfig = "/Users/XXXXX/.nvm/versions/node/v16.15.1/etc/npmrc"
heading = "npm"
https-proxy = null
if-present = false
ignore-scripts = false
include = []
include-staged = false
include-workspace-root = false
init-author-email = ""
init-author-name = ""
init-author-url = ""
init-license = "ISC"
init-module = "/Users/XXXXX/.npm-init.js"
init-version = "1.0.0"
init.author.email = ""
init.author.name = ""
init.author.url = ""
init.license = "ISC"
init.module = "/Users/XXXXX/.npm-init.js"
init.version = "1.0.0"
install-links = false
json = false
key = null
legacy-bundling = false
legacy-peer-deps = false
link = false
local-address = null
location = "user"
lockfile-version = null
loglevel = "notice"
logs-dir = null
logs-max = 10
; long = false ; overridden by cli
maxsockets = 15
message = "%s"
metrics-registry = "https://registry.npmjs.org/"
node-options = null
node-version = "v16.15.1"
noproxy = [""]
npm-version = "8.19.3"
offline = false
omit = []
omit-lockfile-registry-resolved = false
only = null
optional = null
otp = null
pack-destination = "."
package = []
package-lock = true
package-lock-only = false
parseable = false
prefer-offline = false
prefer-online = false
prefix = "/Users/XXXXX/.nvm/versions/node/v16.15.1"
preid = ""
production = null
progress = true
proxy = null
read-only = false
rebuild-bundle = true
; registry = "https://registry.npmjs.org/" ; overridden by user
replace-registry-host = "npmjs"
save = true
save-bundle = false
save-dev = false
save-exact = false
save-optional = false
save-peer = false
save-prefix = "^"
save-prod = false
scope = ""
script-shell = null
searchexclude = ""
searchlimit = 20
searchopts = ""
searchstaleness = 900
shell = "/bin/zsh"
shrinkwrap = true
sign-git-commit = false
sign-git-tag = false
sso-poll-frequency = 500
sso-type = "oauth"
strict-peer-deps = false
strict-ssl = true
tag = "latest"
tag-version-prefix = "v"
timing = false
tmp = "/var/folders/6r/2bzdmqt95dqgl0j7pphhs7kw0000gq/T"
umask = 0
unicode = true
update-notifier = true
usage = false
user-agent = "npm/{npm-version} node/{node-version} {platform} {arch} workspaces/{workspaces} {ci}"
userconfig = "/Users/XXXXX/.npmrc"
version = false
versions = false
viewer = "man"
which = null
workspace = ["/Users/XXXXX/dev/beans/packages/analytics"]
workspaces = null
workspaces-update = true
yes = null

; "user" config from /Users/XXXXX/.npmrc

No source files or tests are named. Start by building the missing minimal A/B reproduction described in the report with npm 9.5.0 and --foreground-scripts, then trace npm's install lifecycle handling. Done means B's postinstall runs both when B is direct and transitive dependency, with a regression test covering the case.