It is impossible to give any definite answer, since there are too many variables involved and they are changing all the time. Predicting three years in advance is pretty hard in any situation. We hope we are at the tail end of the pandemic, but hope won't make it go away.
But, the more you do and the more you accomplish, the better your chances of an academic career. You may, however, need to make compromises of various sorts to stay in academia.
One place to get a general idea is to ask at your own institution what has happened to recent graduates and what did they do/accomplish to get to where they are.
In three years a lot of students might show up in your field, increasing faculty demand. Or, they might all disappear into some other field, or disappear altogether, as happened to me.
But yes, papers are good. Teaching is good. Building a circle of collaboration through joint papers and conferences is good. If you cast a wide net for employment then you are more likely to catch something. Don't ignore any viable options.
And, applied math gives you some pretty general skills so that you will have a career, even if it is a bit different from the one you set out to achieve.
