How to force fancyhdr to mark the subsection on a page?

Question

I am trying to use fancyhdr to create headings on some notes I am writing (article class, one sided). I would like to have the section name and number on the left and the subsection name and number on the right. My issue is that the subsection header does not appear on certain pages. Here is my code:

\usepackage[utf8]{inputenc}
\usepackage{amsthm, amsmath, amssymb, amsfonts, enumitem, mathtools, etoolbox, mathrsfs, fancyhdr}
\usepackage[margin=1in]{geometry}

\pagestyle{fancy} 
\fancyhead{} 
\fancyfoot{}
\fancyfoot[C]{\thepage}
\fancyhead[L]{\nouppercase{\leftmark}}
\fancyhead[R]{\rightmark} 
\headheight 15pt

And here is the output. The first two images show how I would like every page to look:

These two show the problem I am having:

As you can see, in the last two images the subsection does not appear in the header even though a new subsection starts on those pages. Is there a way around this?

EDIT: Here is a working example of the issue:

\documentclass[12pt]{article}
\usepackage[utf8]{inputenc}
\usepackage{amsthm, amsmath, amssymb, amsfonts, enumitem, mathtools, etoolbox, mathrsfs, fancyhdr, extramarks}
\usepackage[margin=1in]{geometry}
\usepackage{blindtext}

\pagestyle{fancy}
\fancyhead{}
\fancyfoot{}
\fancyfoot[C]{\thepage}
\fancyhead[L]{\nouppercase{\firstleftmark}}
\fancyhead[R]{\firstrightmark} 
\headheight 15pt

\renewcommand{\subsectionmark}[1]{\markright{\thesubsection.\ #1}}

\title{test}
\date{September 2019}

\begin{document}
\section{Intro}
\subsection{Subsection 1}

\blindtext[3]
\pagebreak

\subsection{Subsection 2}

\blindtext[3]
\pagebreak

\section{Another section}
\subsection{Sub 3}
\blindtext[1]

\subsection{Sub 4}
\blindtext[1]
\end{document}

When compiled the first and third pages are missing the subsection header. It seems this only occurs when a new section is started first thing on the page.