By default, you will see this.

To achieve this position.

You can use this code to Code Injection > Header (under Timeline Plugin code)
<style>
/* align date */
@media screen and (min-width:768px) {
.tl-date p {
position: absolute;
top: calc(50% + 10px) !important;
transform: translateY(-50%);
right: calc(50% + 20px);
}}
.tl-event:nth-child(even) .tl-date p {
right: unset !important;
left: calc(50% + 20px) !important;
}
/* align dot icon */
.tl-media {
top: calc(50% + 10px) !important;
transform: translateY(-50%);
}
/* align arrow */
.tl-event .arrow {
top: 50% !important;
}
/* do not delete */
.tl-event {
position: relative;
}
.tl-date {
position: static !important;
}
@media screen and (max-width:767px) {
.tl-date {
display: block !important;
grid: unset !important;
position: relative !important;
margin-left: 17px;
z-index: 99999;
}
.tl-content .tl-date {
visibility: hidden !important;
}
.tl-media {
top: calc(50% + 5px) !important;
}
}
</style>
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